This chapter gives an overview of current research in evolutionary finance. We mainly focus on the survival and stability properties of investment strategies associated with the Kelly rule. Our approach to the study of the wealth dynamics of investment strategies is inspired by Darwinian ideas...

I develop a portfolio choice model that allows for partial default and accommodates trade in a rich set of assets. I characterize the solution to an infinite horizon, consumption/portfolio problem with Markov shocks and many assets. The characterization facilitates a simple solution algorithm...

The impact of transaction costs on asset pricing in equilibrium is rarely studied. We study an equilibrium model with proportional transaction costs where two investors trade in a derivative to hedge non-traded endowments. For any positive transaction cost there always exist no trade equilibria....

In recent years, academics, regulators, and market practitioners have increasingly addressed liquidity issues. Amongst the numerous problems addressed, the optimal execution of large orders is probably the one that has attracted the most research works, mainly in the case of single-asset...

Within a financial market where a risk-free bond and a long-lived risky asset are exchanged by investors with heterogeneous trading rules, we assume that the investors most exposed to the risky asset are subject to joint liquidation needs. The latter encompass a risk whenever the market impact...

We consider the problem of maximizing expected utility for a power investor who can allocate his wealth in a stock, a defaultable security, and a money market account. The dynamics of these security prices are governed by geometric Brownian motions modulated by a hidden continuous time finite...

We examine the impact of risk-based portfolio constraints on asset prices in an exchange economy. Constrained agents scale down their portfolio and behave locally like power utility investors with risk aversion that depends on current market conditions. The imposition of constraints dampens...

We consider a stochastic model of a financial market with one-period assets and endogenous asset prices. The model was initially developed and analyzed in the context of Evolutionary Finance with the main focus on questions of "survival and extinction" of investment strategies (portfolio rules)....

This paper compares two well-known approaches for valuing a risky investment using real options theory:contingent claims (CC) with risk neutral valuation and dynamic programming (DP) using a constant risk adjusted discount rate.Both approaches have been used in valuing forest assets.A proof is...

Measuring the performance of stock portfolios that include options is challenging due to options' nonlinearity in the underlying, their exposure to volatility risk, and their time decay. Our contribution to the literature is twofold: First, we provide a theoretically rigorous derivation of the...